SOLUTION: A committee is to be formed consisting of 4 men and 6 women. If the committee members are to be chosen from 8 men and 10 women, how many different committees are possible? A. 14,7

Algebra ->  Permutations -> SOLUTION: A committee is to be formed consisting of 4 men and 6 women. If the committee members are to be chosen from 8 men and 10 women, how many different committees are possible? A. 14,7      Log On


   



Question 1060749: A committee is to be formed consisting of 4 men and 6 women. If the committee members are to be chosen from 8 men and 10 women, how many different committees are possible?
A. 14,700
B. 254,016,000
C. 43,758
D. 280

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
8 men chosen 4 at a time is 8 choose 4, or 70. 6 women chosen from 10 is 10 choose 6, or 210. Therefore, you have 70 x 210, or 14,700 different committees possible. ☺☺☺☺